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Title: Finite Element Simulations for Multiphysics Problems
Authors: Anwar, Muhammad Adnan
Keywords: Physical Sciences
Arbitrary Lagrangian-Eulerian (ALE); Bioengineering; Finite Element Methods (FEM); Heart Valve Simulations; Multigrid. 3
Issue Date: 2022
Publisher: Lahore University of Management Science, Lahore
Abstract: The problems involving multiple physics have gained enormous attention from researchers. Hence, the focus of this study is to explore the two main disciplines of multiphysics problems, namely, Computational Fluid Dynamics (CFD) and Fluid- Structure Interaction (FSI). In the first step, we explored the CFD problems, discretization challenges using the Finite Element Method, and solved the industryrelated problems. In the second step, we explored the FSI problems, which is the kingpin of this study. Moreover, with the advances in computational power in recent decades and viability of solving highly nonlinear coupled FSI scenarios greatly influenced researchers pertaining to studies in vast biomedicine and bioengineering. In the FSI context, we worked on the stenosed bifurcated artery and heart valve simulation problems. We choose Arbitrary Lagrangian-Eulerian (ALE) framework to model arteries’ blood flow and elastic behavior. A stable %2%1 element is used in the finite element method to discretize the governing equations of the problems. Thus the resulting highly nonlinear algebraic system is solved by Newton solver and the corresponding linear system by multigrid solvers. The undertaken study leads towards the understanding and providing the numerical solution of highly complex nonlinear problems in health regime.
Gov't Doc #: 27496
Appears in Collections:PhD Thesis of All Public / Private Sector Universities / DAIs.

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Muhammad Adnan Anwar maths 2022 lums lhr.pdf 22.9.22.pdfPh.D thesis10.27 MBAdobe PDFView/Open

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